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Finding the Fourth Proportional to 2,576.72, 3,855.85 and 2,231.25

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Solution

The fourth proportional to 2,576.72, 3,855.85 and 2,231.25 is: 3,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.72 : 3,855.85 = 2,231.25 : x
  2. Step 2: Convert to fraction form
    2,576.72/3,855.85 = 2,231.25/x
  3. Step 3: Cross multiply
    2,576.72x = 3,855.85 × 2,231.25
  4. Step 4: Simplify right side
    2,576.72x = 8,603,334.88
  5. Step 5: Solve for x
    x = 8,603,334.88/2,576.72
  6. Step 6: Final answer
    x = 3,338.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.